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(d) Max Auto Sales is considering offering a special service contract that will cover the total cost of any service work required on leased vehicles.

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(d) Max Auto Sales is considering offering a special service contract that will cover the total cost of any service work required on leased vehicles. Service costs are approximately normally distributed with a mean of p and a standard deviation of RM 25. (i) If only 3% of the service cost is less than RM103, nd the mean service cost. (2 marks) (ii) What is the probability that the service cost will be between RM 1 30 and RM160 for a year? (1 mark) (iii) If the company offers the service contract to customers for a charg of RM] 80, what is the probability that any one customer's service costs will exceed the contract price of RM 180? (2 marks)

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